Contemporary Design Theory

Contemporary Design Theory

Einband:
Fester Einband
EAN:
9780471531418
Untertitel:
A Collection of Surveys
Genre:
Mathematik
Autor:
Jeffrey H. (University of Vermont, Burling Dinitz
Herausgeber:
Wiley
Anzahl Seiten:
656
Erscheinungsdatum:
04.08.1992
ISBN:
978-0-471-53141-8

Informationen zum Autor Jeffrey H. Dinitz is an American mathematician who teaches combinatorics at the University of Vermont. He is best-known for proposing the Dinitz conjecture, which became a major theorem. Douglas Robert Stinson is a Canadian mathematician and cryptographer, currently a professor at the University of Waterloo and a member of the Centre for Applied Cryptographic Research. Klappentext Foremost experts in their field have contributed articles resulting in a compilation of useful and timely surveys in this ever-expanding field. Each of these 12 original papers covers important aspects of design theory including several in areas that have not previously been surveyed. Also contains surveys updating earlier ones where research is particularly active. Zusammenfassung Following a brief introduction to combinatorial design theory! in which the authors standardize notation! this volume contains a series of detailed surveys which examine specific areas of design theory. Papers are included which provide updates to earlier surveys. Inhaltsverzeichnis Orthogonal Factorizations of Graphs (B. Alspach! et al.). Conjugate--Orthogonal Latin Squares and Related Structures (F. Bennett & L. Zhu). Directed and Mendelsohn Triple Systems (C. Colbourn & A. Rosa). Room Squares and Related Designs (J. Dinitz & D. Stinson). Steiner Quadruple Systems (A. Hartman & K. Phelps). Difference Sets (D. Jungnickel). Decomposition Into Cycles II: Cycle Systems (C. Lindner & C. Rodger). Coverings and Packings (W. Mills & R. Mullin). Colorings of Block Designs (A. Rosa & C. Colbourn). Hadamard Matrices! Sequences! and Block Designs (J. Seberry & M. Yamada). Large Sets of Disjoint Designs and Related Structures (L. Teirlinck). One--Factorizations of Complete Graphs (W. Wallis). Index.

Klappentext
Foremost experts in their field have contributed articles resulting in a compilation of useful and timely surveys in this ever-expanding field. Each of these 12 original papers covers important aspects of design theory including several in areas that have not previously been surveyed. Also contains surveys updating earlier ones where research is particularly active.

Zusammenfassung
Following a brief introduction to combinatorial design theory, in which the authors standardize notation, this volume contains a series of detailed surveys which examine specific areas of design theory. Papers are included which provide updates to earlier surveys.

Inhalt
Orthogonal Factorizations of Graphs (B. Alspach, et al.). Conjugate--Orthogonal Latin Squares and Related Structures (F. Bennett & L. Zhu). Directed and Mendelsohn Triple Systems (C. Colbourn & A. Rosa). Room Squares and Related Designs (J. Dinitz & D. Stinson). Steiner Quadruple Systems (A. Hartman & K. Phelps). Difference Sets (D. Jungnickel). Decomposition Into Cycles II: Cycle Systems (C. Lindner & C. Rodger). Coverings and Packings (W. Mills & R. Mullin). Colorings of Block Designs (A. Rosa & C. Colbourn). Hadamard Matrices, Sequences, and Block Designs (J. Seberry & M. Yamada). Large Sets of Disjoint Designs and Related Structures (L. Teirlinck). One--Factorizations of Complete Graphs (W. Wallis). Index.


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